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Donglian Yuan Assignment 4 This assignment will give you taste of how I want certain calculations performed and shown on the upcoming exam. I would like you to perform the required steps as done in the PowerPoint or in homework answers. Use function bank note as done in Assignment 2. Show all calculations find z-score (when appropriate) and such, use function notation correctly, with correct mathematical syntax. Round probabilities to four denary places. The work required to show may require the use of fractions.You have two choices both acceptable. You can either write a step involving a fraction as (20 15)/2 or using MathType as pic. MathType was mentioned in the module Course Introduction, Course Requirements. There are three problems here. Scenario I go to an internet site that has a random number generator restrain to produce random real numbers racket from a uniform scattering with the drug user picking the values of the endpoints. I set the random generator to produce numbers in the following interval 25 X 48.If the the distribution is then uniform, and the try method is unbiased, then figure 1 shows the theoretical mean and model deviation. 1. I gather a sample of ten from random sampling and I get the following set of numbers. Sample result 25. 02 34. 58 28. 29 38. 75 34. 95 33. 16 30. 95 40. 23 38. 99 37. 69 The question that will be posed concerns using my sample average from the ten values I generated, assuming that indeed, (x = 36. 5 with ? x = 6. 64 and the distribution is uniform. a.What is the probability of get a sample average as low or even lower than the one we got from our sample of ten. pic pic About 4. 2% of getting a sample average as low or even lower than the one we got from our sample of ten. Grading castigate answer 70%. Correct notation 20%, required components of problem/neatness 10%. Scenario I go to an internet site that has a random number generator set to produce random real numbers from a uniform distributio n with the user picking the values of the endpoints.I set the random generator to produce numbers in the following interval 25 X 48. If the the distribution is indeed uniform, and the sampling method is unbiased, then figure 1 shows the theoretical mean and standard deviation. I gather a sample of ten from random sampling and I get the following set of numbers. Sample result 25. 02 34. 58 28. 29 38. 75 34. 95 33. 16 30. 95 40. 23 38. 99 37. 69